Patent · US Expired

Cryptosystem based on a Jacobian of a curve

US7020776B2 · kind B2 · utility

7Cited by
2References
34Claims
0Family size

Assignee

Inventors

Key dates

Filing dateJun 20, 2001
Grant dateMar 28, 2006
Priority date
Expiry dateJan 20, 2024

Classification

  • Technology area (CPC H)Electricity
  • CPC primaryH04L2209/30
  • WIPO fieldDigital communication
  • WIPO sectorElectrical engineering

Abstract

A cryptosystem has a secret based on an order of a group of points on a Jacobian of a curve. In certain embodiments, the cryptosystem is used to generate a product identifier corresponding to a particular product. The product identifier is generated by initially receiving a value associated with a copy (or copies) of a product. The received value is padded using a recognizable pattern, and the padded value is converted to a number represented by a particular number of bits. The number is then converted to an element of the Jacobian of the curve, and the element is then raised to a particular power. The result of raising the element to the particular power is then compressed and output as the product identifier. Subsequently, the encryption process can be reversed and the decrypted value used to indicate validity and/or authenticity of the product identifier.

Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.